Expression 5: "d" left parenthesis, "a" , "b" , right parenthesis equals "a" left bracket, 1 , right bracket "b" left bracket, 1 , right bracket plus "a" left bracket, 2 , right bracket "b" left bracket, 2 , right bracketda,b=a1b1+a2b2
5
Expression 6: "P" left parenthesis, "x" , "y" , right parenthesis equals "d" left parenthesis, "H" left parenthesis, "x" , "y" , right parenthesis , "f" left parenthesis, left bracket, "x" , "y" , right bracket , right parenthesis , right parenthesis times "f" Subscript, 3 , Baseline left parenthesis, negative "x" , right parenthesis "f" Subscript, 3 , Baseline left parenthesis, negative "y" , right parenthesis positive "d" left parenthesis, "H" left parenthesis, "x" plus 1 , "y" , right parenthesis , left bracket, negative "f" left parenthesis, negative "x" , right parenthesis , "f" left parenthesis, "y" , right parenthesis , right bracket , right parenthesis times "f" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis "f" Subscript, 3 , Baseline left parenthesis, negative "y" , right parenthesis positive "d" left parenthesis, "H" left parenthesis, "x" , "y" plus 1 , right parenthesis , left bracket, "f" left parenthesis, "x" , right parenthesis , negative "f" left parenthesis, negative "y" , right parenthesis , right bracket , right parenthesis times "f" Subscript, 3 , Baseline left parenthesis, negative "x" , right parenthesis "f" Subscript, 3 , Baseline left parenthesis, "y" , right parenthesis positive "d" left parenthesis, "H" left parenthesis, "x" plus 1 , "y" plus 1 , right parenthesis , negative "f" left parenthesis, left bracket, negative "x" , negative "y" , right bracket , right parenthesis , right parenthesis times "f" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis "f" Subscript, 3 , Baseline left parenthesis, "y" , right parenthesisPx,y=dHx,y,fx,y·f3−xf3−y+dHx+1,y,−f−x,fy·f3xf3−y+dHx,y+1,fx,−f−y·f3−xf3y+dHx+1,y+1,−f−x,−y·f3xf3y
6
Expression 7: sine left parenthesis, "P" left parenthesis, "x" , "y" , right parenthesis , right parenthesis less than or equal to .1sinPx,y≤.1
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Expression 8: sine left parenthesis, 14 "P" left parenthesis, "x" , "y" , right parenthesis , right parenthesis less than or equal to .1sin14Px,y≤.1
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Expression 9: absolute value left parenthesis, "P" left parenthesis, "x" , "y" , right parenthesis , right parenthesis less than or equal to .1absPx,y≤.1